A NEW DIFFERENTIAL FORMULATION OF ACOUSTIC SCATTERING BY ROTATIONALLYSYMMETRICAL PENETRABLE SCATTERERS

A new differential formulation is presented for acoustic wave scatteri ng from rotationally symmetric penetrable bodies. The numerical implem entation of this formulation is fairly simple, and comprises basically the construction of the state-transition matrix of a system of differ ential equations and the solution of a matrix equation. The validity a nd the accuracy of the numerical scheme are tested considering objects of known scattering behavior. Other numerical applications are also p resented to demonstrate the generality of the method in handling scatt erers of arbitrary shapes and material compositions.